# Mathematics Grade 11 NC March Test 2026 Paper & Memo

> Grade 11 Mathematics question paper and memo from the NC March Test 2026, 13 pages. Read online or get the free PDF download.

- Page: https://www.hlayiso.com/library/grade-11-mathematics-2026-nc-march-test-question-paper-and-memorandum/295ebe14-fe59-49c5-964c-b962e0108881
- Updated: 2026-09-28
- Subject: Mathematics
- Grade: Grade 11
- Document type: Question paper and memo
- Year: 2026
- Exam period: NC March Test
- Curriculum: CAPS
- Pages: 13

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## About this document

Mathematics · Grade 11 · NC March Test · 2026. Question paper and memorandum, 13 pages. Read online or download the PDF.

Read it free online on the page above; download the PDF from there.

## Document text

Text extracted from the PDF. Layout, diagrams and tables may not survive extraction.

### Page 1

DEPARTMENT OF EDUCATION
DEPARTEMENT VAN ONDERWYS
LEFAPHA LA THUTO

ISEBE LEZEMFUNDO

PUNTE/MARKS: 75

TYD/TIME: 1% uur/hours

Hierdie vraestel bestaan uit 5 bladsye./
This question paper consists of 5 pages.

Kopiereg voorbehou/ ~ Blaai om asseblief/

Copyright reserved Please turn over

### Page 2

Downloaded from Stanmorephysics.com
2

Mathematics/Grade 11 NCDOE/March 2026

INSTRUCTIONS:
1. — This test consists of 3 QUESTIONS. Answer ALL the questions.
2. . Number the answers correctly according to the numbering system used in this test.

3. \ Clearly show ALL calculations, diagrams, graphs, etcetera that you used in determining the
answers.

4. — Answers only will NOT necessarily be awarded full marks. .

5. You may use an approved calculator. —

6. Write neatly and legibly.

Copyright Turn the page

### Page 3

Downloaded from Stanmorephysics.com
Mathematics/Grade 11

QUESTION 1

3x? -5x=4
x+V¥x-2=2

x(x-4) >3(x-4)

(correct to TWO decimal places)

10
get ge ot
1.1.4 9

matey

115  (&-3)? =9

@ i 242.7 , calculate the value(s)
P

1.3 Solve for x and y:
2x-y=1 and = y?—xy=x+7

QUESTION 2

21 x+3

Ii-P= , determine the value(s) of x for which:

x5
2.1.1 P is undefined.

2.1.2 P not real.

2.2 ‘the use of a calculator:

23

r—4 _
63 -V28

that x=2 and y=7. Show ALL your calculations.

Copyright

NCDOE/March 2026

(3)
(4)
(4)

(3)

(4)

(4)

(6)
[28]

(a)
(2)

(3)

(4)

= aly , where x,y¢R proof WITHOUT the use of a calculator

(3)

Turn the page

### Page 4

Downloaded from Stanmorephysics.com
4

Mathematics/Grade 11 NCDOE/March 2026
24 Given ax’+bx+e=0 with a>0;b<0 and c<0.
[ 241) Determine the nature of the roots. (2)
(24,2 Make a rough draft of your answer in 2.4.1 (2)
2.5 Determine the value of p, if x* +2px+5p+6=0 have no real roots. (3)
[20]
QUESTION 3
Si Determine in which quadrant will the
cos@>0 and tan@<0. qd)

a2

x
3.2.1 Determine the y—coordinate of P. (3)
32:2 Hence, determine the value of the following, WITHOUT the use of a
calculator:
(a) sin@ (2)

(b) tan’ 9-3 (2)

33) Solve the nest equestion, correct to ONE decimal place.
33.1 sin a = tan32° (2)

3.3.2 cos(2+10°) = 0,866 (3)

Copyright Turn the page

### Page 5

Downloaded from Stanmorephysics.com
Mathematics/Grade 11 NCDOE/March 2026

3.4 Determine the value of the following expression, WITHOUT the use of a
calculator, show ALL your calculations. \/1—cos’ 30° (3)

3.5 Simplify the following:
3.5.1 J2.1an150°.cos225°.sin 300° 6)

3.5.2 tan(@ -180°).cos?(180+ 4)
cos(90° +6)

(6)
[27]

TOTAL: 75

Copyright Turn the page

### Page 6

Downloaded from PRNEOEE F Na com

Mathematics/Grade 11 NCDOE/March 2026
INFORMATION SHEET
— bi Nb? ~4ac
2a
A=P(l+ni) A= P(i-ni) A=P(l-i)" A=P(I+i)"
T,=a4+(n-Nd S, =FRa+m-nd]
a
fT, = ar"? l<r<l
F= x|+i)" -1
i
+f") = lim F+h)-fCO
h>0 A
d=y(x,-%) +0,-nY
y=mxtec y-Y= m=tand

(x-ay +(y—by =r?

joaspG: 4 =? 2
sinA sinB sinC
a =b? +c? —2be.cosA

area AABC = ab, sinC

sin(a + B) = sina.cos B + cosa.sin
cos(a + 8)=cosa.cos B -sina.sin B

cos? a@—sin’ a
cos2a =41—2sin’a
2cos?a-1

sin(a — £)=sina.cos f - cosa.sin B

cos(ar ~f)= cosa.cos  +sina.sin B

sin 2a =2sina.cosa

n

XG -xY

o? = __
n

P(A of B) = P(A) + P(B) — P(A en B)

p= LF -7)
Ye-*

### Page 7

Downloaded from Stanmorephysics.com

DEPARTMENT OF EDUCATION
DEPARTEMENT VAN ONDERWYS
LEFAPHA LA THUTO

ISEBE LEZEMFUNDO

PROVINSIALE TOETS

PROVINCIAL TEST

[ GRAAD 11 / GRADE 11 |

WISKUNDE/MATHEMATICS
MAART / MARCH 2026

NASIENRIGLYNE/MARKING GUIDELINES

PUNTE/MARKS: 75

TYD/TIME: 1% uur/hours

Hierdie nasienriglyne bestaan uit 7 bladsye./
These marking guidelines consist of 7 pages.

Kopiereg voorbehou/ Blaai om asseblief/
Copyright reserved Please turn over

### Page 8

vakBDowsloaded from Stanmorephysics.com NK/Mrt 2026

Nasienriglyne
QUESTION 1
1.1 Pll | 3x? -5x =4
3x7 -5x-4=0 Y Mstandard form
- 5+ C5) -48)-4) Y CA substitusion
xen tul a (3)(-4)
x=2,26 or -0,59 Y CA both answers
GB)
1.1.2 | x+V¥x—2=2 YM square both sides
vx—2=2-x correctly
x-2=(2-x) YM standard form
x-2=4-4x4x? vA factorise
O=x°-5x+6 ¥CA answer
0=(x-3)(x-2) learner must indicate
Lmad: OF =} which answers apply
na. ee and which one is n.a.
to get the last mark (4)
vS simplify
YM standard form
vA factorise / CV
¥ CA answer
learner must answer in
{<3. (OR. xd correct inequality form,
otherwise B/D (4)
1.1.4 | 3x41 4 3x-1 = 2
a= » ~ " YM common factor
YS simplify
yas
3
3 =37 ¥ CA answer
wx=-l (3)

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### Page 9

vaBownloaded from Stanmoreph

rephysics.com

NK/Mrt 2026

YM prime factor
¥M X to the power of >

vS_ simplify

¥ CA both answers

(4)

4k? +4=17k
4k? -17k+4=0
(4k -1)(k-4) =0

: Edhimorephysics.com

YM LCM: 4k

YS factorise

¥ CA both answer

(4)

OR alternative method for

1.2

YM LCM: 4k
YM standard form

VS factorise

¥ CA both answer

(4)

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### Page 10

vakBowsloaded from Stanmorephysics.com NK/Mrt 2026

Nasienriglyn
1.3
YM rewrite to make y the
subject in equation 1
YM subst.
vS_ simplify
x -2x-3=0 YCA factorise
(x-3)(x+1) =0
Y¥CA both x-values
= =-4
Z OR eal
Hafimorephysics.com ¥ CA both y-values
(6)
[28]
QUESTION 2
2.1.1 | Undefined
x-5=0 vA
wx=5 (1)
2.1.2 | Not real ¥M
x+3<0
ux<-3 va 2)
T
221 | aos3ys
64x73
YM prime and expo law
¥ S simplify
¥ CA answer
GB)

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### Page 11

vakBowsloaded from Stanmorephysics.com

Nasienriglyne

NK/Mrt 2026

2.2.2 [6*? x 10"?
| 715-2

nf: yee x §r2gn2
A > 2H 32 sr

. a a

p.3'.5°

¥ M prime

Y M expo law
YS. simplify

¥ CA answer

(4)

23 14

¥o3 - 28

14

ex 7 V2 x7
14

“37-27
_14 V7
a i
_lv7

7
=2V7

meaning that x =2 and y=7 is proved

YS simplify

YM multiply with Ri

v7

YS simplify

Q)

2.4.1 | A=b?—4ac
A=CY-4HO
A=+

Nature of the root A>0, real

(2)

(2)

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### Page 12

vaeBawsloaded from Stanmorephysics.com NK/Mrt 2026

Nasienriglyn
2.5 x +2px+(5p+6)=0
A=b? —4ac
| A=(2p)’ -4(1)(5p+6
ior” MGCP +6) YM subst. in A
A =4p° -20p-24
: ~ 20+ (207 — 44-24)
2(4) Y critical points
p=6 or -l
¥ CA answer
A<0
learner must answer in
“ol<p<6 inequality form,
otherwise B/D (3)
[20]
QUESTION 3:
3.1 | Quadrant 4 VA ()
32
3.2.1
¥M
YR pythagoras
YA chosing the correct
value of y = -12
@)
3.2.2a
Y Y CA from 3.2.1
(2)
3.2.2b | tan? @-3
12
= [=] ma} YM subst. value tan
5
Jaa 5,
25 25
= YCA
25
(2)

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### Page 13

vakBowsloaded from Stanmorephysics.com

Nasienriglyne

NK/Mrt 2026

3.3.1 | sina =tan32°
sin@ = 0,62486... YM tan 32 = 0,62486...
4 =38,7° Penalize only Vv
ONCE for Steuer (2)
incorrect
| 3.3.2 | wounding YM shift
¥ answer
mt a GB)
= ay
3.4 v/1—cos* 30°
2
3B
= {I- 4 | ¥ subst. special A
- I s
4
-|t vs
4
al 7
3 answer
GB)
3.5.1 | J2.tan150°.cos225°.sin 300° v M reduction
5 oy ene YM reduction
= V2.(-tan30°)(—cos 45°)(—sin 60°) Y M reduction
-1][ -1]] -v3
=v2. Fa Fa =] Y subst. special A
_- vcA
2
(6)
3.5.2 | tan(@—180°).cos?(180 +4) ¥ M reduction
M reduction
90°+0
sont ) ¥ M reduction
_ tan@.(—cos 0)”
—sin@ Y¥ (-cos0@)’ =cos*@
sind os? Directly to cos’ @ loose
— cos@ one mark (-1) must show
—sin@ reduction first
=-—cosé
YM identity
¥CA
(6)
[27]

Kopiereg voorbehou

TOTAL :75

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